λ
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Atlas › Integer Profiles › Node 4,928,106

4,928,106

2 × 3 × 19 × 139 × 311
Abundant Even Composite

4,928,106 factors as 2 × 3 × 19 × 139 × 311. Its 32 positive divisors give a proper-divisor sum of 5,555,094, so this integer is abundant. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 139 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,483,200
Proper Divisor Sum 5,555,094
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4928081 ← → #4928117

Radix Representation

Decimal 4928106
Binary 10010110011001001101010 (23 bits)
Octal 0o22631152
Hexadecimal 0x4B326A

Divisor Catalog (32)

1 2 3 6 19 38 57 114 139 278 311 417 622 834 933 1,866 2,641 5,282 5,909 7,923 11,818 15,846 17,727 35,454 43,229 86,458 129,687 259,374 821,351 1,642,702 2,464,053 4,928,106

Collatz Trajectory (56 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,928,106 2,464,053 7,392,160 3,696,080 1,848,040 924,020 462,010 231,005 693,016 346,508 173,254 86,627 259,882 129,941 389,824 194,912 97,456 48,728 24,364 12,182 6,091 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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